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https://lugroup.yale.edu

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SciProfiles: 495215
Scopus Author ID: 57189226888
ResearcherID: AAG-7335-2019

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Employment (3)

Yale University: New Haven, CT, US

2023-08-01 to present | Assistant Professor (Department of Statistics and Data Science)
Employment
Source: Self-asserted source
Lu Lu

University of Pennsylvania: Philadelphia, PA, US

2021-09-01 to 2023-07-31 | Assistant Professor (Department of Chemical and Biomolecular Engineering)
Employment
Source: Self-asserted source
Lu Lu

Massachusetts Institute of Technology: Cambridge, MA, US

2020-09-01 to 2021-05-31 | Applied Mathematics Instructor (Department of Mathematics)
Employment
Source: Self-asserted source
Lu Lu

Education and qualifications (7)

Brown University: Providence, RI, US

2016-09-01 to 2020-05-24 | Ph.D. in Applied Mathematics (Division of Applied Mathematics)
Education
Source: Self-asserted source
Lu Lu

Brown University: Providence, Rhode Island, US

2017-09-01 to 2019-05-26 | M.Sc. in Computer Science (Department of Computer Science)
Education
Source: Self-asserted source
Lu Lu

Brown University: Providence, Rhode Island, US

2016-09-01 to 2017-05-28 | M.Sc. in Applied Mathematics (Division of Applied Mathematics)
Education
Source: Self-asserted source
Lu Lu

Brown University: Providence, Rhode Island, US

2014-09-01 to 2016-05-29 | M.Sc. in Engineering (School of Engineering)
Education
Source: Self-asserted source
Lu Lu

Tsinghua University: Beijing, CN

2009-09-01 to 2013-06-30 | B.Eng. in Energy, Power System and Automation (Department of Thermal Engineering)
Education
Source: Self-asserted source
Lu Lu

Tsinghua University: Beijing, CN

2009-09-01 to 2013-06-30 | B.Ec. in Economics (Department of Economics)
Education
Source: Self-asserted source
Lu Lu

Tsinghua University: Beijing, CN

2009-09-01 to 2013-06-30 | Minor in Computer Technology and Application (Department of Computer Science and Technology)
Education
Source: Self-asserted source
Lu Lu

Works (50 of 58)

Items per page:
Page 1 of 2

Identifying Trustworthiness Challenges in Deep Learning Models for Continental-Scale Water Quality Prediction

2025-03-25 | Preprint
DOI: 10.21203/rs.3.rs-6248689/v1
Contributors: Tongliang Liu; Xiaobo Xia; Xiaofeng Liu; Jiale Liu; Kuai Fang; Lu Lu; Samet Oymak; William Currie
Source: check_circle
Crossref

Conformalized-DeepONet: A distribution-free framework for uncertainty quantification in deep operator networks

Physica D: Nonlinear Phenomena
2025-01 | Journal article
DOI: 10.1016/j.physd.2024.134418
Part of ISSN: 0167-2789
Contributors: Christian Moya; Amirhossein Mollaali; Zecheng Zhang; Lu Lu; Guang Lin
Source: Self-asserted source
Lu Lu

Identifying Heterogeneous Micromechanical Properties of Biological Tissues via Physics‐Informed Neural Networks

Small Methods
2025-01 | Journal article
DOI: 10.1002/smtd.202400620
Contributors: Wensi Wu; Mitchell Daneker; Kevin T. Turner; Matthew A. Jolley; Lu Lu
Source: check_circle
Crossref

Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration

Engineering Applications of Computational Fluid Mechanics
2024-12-31 | Journal article
DOI: 10.1080/19942060.2024.2435457
Contributors: Jonathan E. Lee; Min Zhu; Ziqiao Xi; Kun Wang; Yanhua O. Yuan; Lu Lu
Source: check_circle
Crossref

Rapid Aerodynamic Prediction of Swept Wings via Physics-Embedded Transfer Learning

AIAA Journal
2024-12-28 | Journal article
DOI: 10.2514/1.J064576
Contributors: Yunjia Yang; Runze Li; Yufei Zhang; Lu Lu; Haixin Chen
Source: check_circle
Crossref

A scalable framework for learning the geometry-dependent solution operators of partial differential equations

Nature Computational Science
2024-12-09 | Journal article
DOI: 10.1038/s43588-024-00732-2
Contributors: Minglang Yin; Nicolas Charon; Ryan Brody; Lu Lu; Natalia Trayanova; Mauro Maggioni
Source: check_circle
Crossref

Disk2Planet: A Robust and Automated Machine Learning Tool for Parameter Inference in Disk–Planet Systems

The Astrophysical Journal
2024-12-01 | Journal article
DOI: 10.3847/1538-4357/ad8086
Contributors: Shunyuan 顺元 Mao 毛; Ruobing 若冰 Dong 董; Kwang Moo Yi; Lu Lu; Sifan Wang; Paris Perdikaris
Source: check_circle
Crossref

Fourier-MIONet: Fourier-enhanced multiple-input neural operators for multiphase modeling of geological carbon sequestration

Reliability Engineering & System Safety
2024-11 | Journal article
DOI: 10.1016/j.ress.2024.110392
Contributors: Zhongyi Jiang; Min Zhu; Lu Lu
Source: check_circle
Crossref

D2NO: Efficient handling of heterogeneous input function spaces with distributed deep neural operators

Computer Methods in Applied Mechanics and Engineering
2024-08 | Journal article
DOI: 10.1016/j.cma.2024.117084
Contributors: Zecheng Zhang; Christian Moya; Lu Lu; Guang Lin; Hayden Schaeffer
Source: check_circle
Crossref

Speeding up and reducing memory usage for scientific machine learning via mixed precision

Computer Methods in Applied Mechanics and Engineering
2024-08 | Journal article
DOI: 10.1016/j.cma.2024.117093
Contributors: Joel Hayford; Jacob Goldman-Wetzler; Eric Wang; Lu Lu
Source: check_circle
Crossref

Deep Learning for Solving and Estimating Dynamic Macro-finance Models

Computational Economics
2024-08-09 | Journal article
DOI: 10.1007/s10614-024-10693-3
Contributors: Benjamin Fan; Edward Qiao; Anran Jiao; Zhouzhou Gu; Wenhao Li; Lu Lu
Source: check_circle
Crossref

PCDMD: Physics-constrained dynamic mode decomposition for accurate and robust forecasting of dynamical systems with imperfect data and physics

Computer Physics Communications
2024-07 | Journal article
DOI: 10.1016/j.cpc.2024.109303
Part of ISSN: 0010-4655
Contributors: Yuhui Yin; Chenhui Kou; Shengkun Jia; Lu Lu; Xigang Yuan; Yiqing Luo
Source: Self-asserted source
Lu Lu

Transferable machine learning model for the aerodynamic prediction of swept wings

Physics of Fluids
2024-07-01 | Journal article
DOI: 10.1063/5.0213830
Contributors: Yunjia Yang; Runze Li; Yufei Zhang; Lu Lu; Haixin Chen
Source: check_circle
Crossref

Transfer learning on physics-informed neural networks for tracking the hemodynamics in the evolving false lumen of dissected aorta

Nexus
2024-06 | Journal article
DOI: 10.1016/j.ynexs.2024.100016
Contributors: Mitchell Daneker; Shengze Cai; Ying Qian; Eric Myzelev; Arsh Kumbhat; He Li; Lu Lu
Source: check_circle
Crossref

Signaling-biophysical modeling unravels mechanistic control of red blood cell phagocytosis by macrophages in sickle cell disease

PNAS Nexus
2024-02-01 | Journal article
DOI: 10.1093/pnasnexus/pgae031
Contributors: Yu Zhang; Yuhao Qiang; He Li; Guansheng Li; Lu Lu; Ming Dao; George E Karniadakis; Aleksander S Popel; Chen Zhao; Dennis Discher
Source: check_circle
Crossref

Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics

Communications Physics
2024-01-13 | Journal article
DOI: 10.1038/s42005-024-01521-z
Contributors: Xin-Yang Liu; Min Zhu; Lu Lu; Hao Sun; Jian-Xun Wang
Source: check_circle
Crossref

Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness

Computer Methods in Applied Mechanics and Engineering
2023-11 | Journal article
DOI: 10.1016/j.cma.2023.116300
Contributors: Min Zhu; Shihang Feng; Youzuo Lin; Lu Lu
Source: check_circle
Crossref

Learning Specialized Activation Functions for Physics-Informed Neural Networks

Communications in Computational Physics
2023-11 | Journal article
DOI: 10.4208/cicp.oa-2023-0058
Part of ISSN: 1815-2406
Part of ISSN: 1991-7120
Contributors: Honghui Wang; Lu Lu; Shiji Song null; Gao Huang
Source: Self-asserted source
Lu Lu

A systematic study of the performance of machine learning models on analyzing the association between semen quality and environmental pollutants

Frontiers in Physics
2023-10-17 | Journal article
DOI: 10.3389/fphy.2023.1259273
Part of ISSN: 2296-424X
Contributors: Lu Lu; Ying Qian; Yihang Dong; Han Su; Yunxin Deng; Qiang Zeng; He Li
Source: Self-asserted source
Lu Lu

Reliable extrapolation of deep neural operators informed by physics or sparse observations

Computer Methods in Applied Mechanics and Engineering
2023-07 | Journal article
DOI: 10.1016/j.cma.2023.116064
Contributors: Min Zhu; Handi Zhang; Anran Jiao; George Em Karniadakis; Lu Lu
Source: check_circle
Crossref

Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics

Applied Mathematics and Mechanics
2023-07-03 | Journal article
DOI: 10.1007/s10483-023-2995-8
Part of ISSN: 0253-4827
Part of ISSN: 1573-2754
Contributors: W. Wu; M. Daneker; M. A. Jolley; K. T. Turner; L. Lu
Source: Self-asserted source
Lu Lu

PPDONet: Deep Operator Networks for Fast Prediction of Steady-state Solutions in Disk–Planet Systems

The Astrophysical Journal Letters
2023-06-01 | Journal article
DOI: 10.3847/2041-8213/acd77f
Contributors: Shunyuan 顺元 Mao 毛; Ruobing 若冰 Dong 董; Lu Lu; Kwang Moo Yi; Sifan Wang; Paris Perdikaris
Source: check_circle
Crossref

Integration of multi-physics and machine learning-based surrogate modelling approaches for multi-objective optimization of deformed GDL of PEM fuel cells

Energy and AI
2023-04 | Journal article
DOI: 10.1016/j.egyai.2023.100261
Part of ISSN: 2666-5468
Contributors: Jiankang Wang; Hai Jiang; Gaojian Chen; Huizhi Wang; Lu Lu; Jianguo Liu; LEI XING
Source: Self-asserted source
Lu Lu

Systems Biology: Identifiability Analysis and Parameter Identification via Systems-Biology-Informed Neural Networks

Computational Modeling of Signaling Networks
2023-04 | Book chapter
DOI: 10.1007/978-1-0716-3008-2_4
Part of ISBN: 9781071630075
Part of ISBN: 9781071630082
Part of ISSN: 1064-3745
Part of ISSN: 1940-6029
Contributors: Mitchell Daneker; Zhen Zhang; George Em Karniadakis; Lu Lu
Source: Self-asserted source
Lu Lu

Neural operator prediction of linear instability waves in high-speed boundary layers

Journal of Computational Physics
2023-02 | Journal article
DOI: 10.1016/j.jcp.2022.111793
Contributors: Patricio Clark Di Leoni; Lu Lu; Charles Meneveau; George Em Karniadakis; Tamer A. Zaki
Source: check_circle
Crossref

A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks

Computer Methods in Applied Mechanics and Engineering
2023-01 | Journal article
DOI: 10.1016/j.cma.2022.115671
Contributors: Chenxi Wu; Min Zhu; Qinyang Tan; Yadhu Kartha; Lu Lu
Source: check_circle
Crossref

MIONet: Learning Multiple-Input Operators via Tensor Product

SIAM Journal on Scientific Computing
2022-12 | Journal article
DOI: 10.1137/22M1477751
Contributors: Pengzhan Jin; Shuai Meng; Lu Lu
Source: check_circle
Crossref

Approximation rates of DeepONets for learning operators arising from advection–diffusion equations

Neural Networks
2022-09 | Journal article
DOI: 10.1016/j.neunet.2022.06.019
Contributors: Beichuan Deng; Yeonjong Shin; Lu Lu; Zhongqiang Zhang; George Em Karniadakis
Source: check_circle
Crossref

Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport

Physical Review Research
2022-06-13 | Journal article
DOI: 10.1103/PhysRevResearch.4.023210
Contributors: Lu Lu; Raphaël Pestourie; Steven G. Johnson; Giuseppe Romano
Source: check_circle
Crossref

A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data

Computer Methods in Applied Mechanics and Engineering
2022-04 | Journal article
DOI: 10.1016/j.cma.2022.114778
Contributors: Lu Lu; Xuhui Meng; Shengze Cai; Zhiping Mao; Somdatta Goswami; Zhongqiang Zhang; George Em Karniadakis
Source: check_circle
Crossref

Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems

Computer Methods in Applied Mechanics and Engineering
2022-04 | Journal article
DOI: 10.1016/j.cma.2022.114823
Contributors: Jeremy Yu; Lu Lu; Xuhui Meng; George Em Karniadakis
Source: check_circle
Crossref

DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators

Journal of Computational Physics
2021-12 | Journal article
DOI: 10.1016/j.jcp.2021.110698
Contributors: Zhiping Mao; Lu Lu; Olaf Marxen; Tamer A. Zaki; George Em Karniadakis
Source: check_circle
Crossref

Physics-Informed Neural Networks with Hard Constraints for Inverse Design

SIAM Journal on Scientific Computing
2021-11 | Journal article
DOI: 10.1137/21m1397908
Part of ISSN: 1064-8275
Part of ISSN: 1095-7197
Source: Self-asserted source
Lu Lu

How the spleen reshapes and retains young and old red blood cells: A computational investigation

PLOS Computational Biology
2021-11-01 | Journal article
DOI: 10.1371/journal.pcbi.1009516
Contributors: He Li; Andrew D. McCulloch; Zixiang Leonardo Liu; Lu Lu; Pierre Buffet; George Em Karniadakis
Source: check_circle
Crossref

DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks

Journal of Computational Physics
2021-07 | Journal article
DOI: 10.1016/j.jcp.2021.110296
Contributors: Shengze Cai; Zhicheng Wang; Lu Lu; Tamer A. Zaki; George Em Karniadakis
Source: check_circle
Crossref

Deep transfer learning and data augmentation improve glucose levels prediction in type 2 diabetes patients

npj Digital Medicine
2021-07-14 | Journal article
DOI: 10.1038/s41746-021-00480-x
Contributors: Yixiang Deng; Lu Lu; Laura Aponte; Angeliki M. Angelidi; Vera Novak; George Em Karniadakis; Christos S. Mantzoros
Source: check_circle
Crossref

Physics-informed machine learning

Nature Reviews Physics
2021-05-24 | Journal article
DOI: 10.1038/s42254-021-00314-5
Contributors: George Em Karniadakis; Ioannis G. Kevrekidis; Lu Lu; Paris Perdikaris; Sifan Wang; Liu Yang
Source: check_circle
Crossref

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence
2021-03-18 | Journal article
DOI: 10.1038/s42256-021-00302-5
Contributors: Lu Lu; Pengzhan Jin; Guofei Pang; Zhongqiang Zhang; George Em Karniadakis
Source: check_circle
Crossref

Operator learning for predicting multiscale bubble growth dynamics

The Journal of Chemical Physics
2021-03-14 | Journal article
DOI: 10.1063/5.0041203
Contributors: Chensen Lin; Zhen Li; Lu Lu; Shengze Cai; Martin Maxey; George Em Karniadakis
Source: check_circle
Crossref

DeepXDE: A Deep Learning Library for Solving Differential Equations

SIAM Review
2021-01 | Journal article
DOI: 10.1137/19M1274067
Contributors: Lu Lu; Xuhui Meng; Zhiping Mao; George Em Karniadakis
Source: check_circle
Crossref

Dying ReLU and Initialization: Theory and Numerical Examples

Communications in Computational Physics
2020-11 | Journal article
DOI: 10.4208/cicp.oa-2020-0165
Part of ISSN: 1815-2406
Part of ISSN: 1991-7120
Source: Self-asserted source
Lu Lu

Systems biology informed deep learning for inferring parameters and hidden dynamics

PLOS Computational Biology
2020-11-18 | Journal article
DOI: 10.1371/journal.pcbi.1007575
Contributors: Alireza Yazdani; Vassily Hatzimanikatis; Lu Lu; Maziar Raissi; George Em Karniadakis
Source: check_circle
Crossref
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Preferred source (of 3)‎

Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness

Neural Networks
2020-10 | Journal article
DOI: 10.1016/j.neunet.2020.06.024
Contributors: Pengzhan Jin; Lu Lu; Yifa Tang; George Em Karniadakis
Source: check_circle
Crossref

Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Optics Express
2020-04-13 | Journal article
DOI: 10.1364/OE.384875
Contributors: Yuyao Chen; Lu Lu; George Em Karniadakis; Luca Dal Negro
Source: check_circle
Crossref

Extraction of mechanical properties of materials through deep learning from instrumented indentation

Proceedings of the National Academy of Sciences
2020-03-31 | Journal article
DOI: 10.1073/pnas.1922210117
Contributors: Lu Lu; Ming Dao; Punit Kumar; Upadrasta Ramamurty; George Em Karniadakis; Subra Suresh
Source: check_circle
Crossref

In Silico Medicine Advances the Development of Sickle Cell Disease Therapies

SIAM News
2020-03-02 | Journal article
Contributors: Li, He; Lu, Lu; Vekilov, Peter; Karniadakis, George Em
Source: Self-asserted source
Lu Lu

Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems

Journal of Computational Physics
2019-11 | Journal article
DOI: 10.1016/j.jcp.2019.07.048
Part of ISSN: 0021-9991
Source: Self-asserted source
Lu Lu

Quantitative prediction of erythrocyte sickling for the development of advanced sickle cell therapies

Science Advances
2019-08-02 | Journal article
DOI: 10.1126/sciadv.aax3905
Contributors: Lu Lu; Zhen Li; He Li; Xuejin Li; Peter G. Vekilov; George Em Karniadakis
Source: check_circle
Crossref

fPINNs: Fractional Physics-Informed Neural Networks

SIAM Journal on Scientific Computing
2019-01 | Journal article
DOI: 10.1137/18M1229845
Contributors: Guofei Pang; Lu Lu; George Em Karniadakis
Source: check_circle
Crossref

Cytoskeleton Remodeling Induces Membrane Stiffness and Stability Changes of Maturing Reticulocytes

Biophysical Journal
2018 | Journal article
DOI: 10.1016/j.bpj.2018.03.004
EID:

2-s2.0-85046536902
Contributors: Li, H.; Yang, J.; Chu, T.T.; Naidu, R.; Lu, L.; Chandramohanadas, R.; Dao, M.; Karniadakis, G.E.
Source: Self-asserted source
Lu Lu via Scopus - Elsevier
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